Pythag in Circles
Proportionality
Trigonometry
Ratios in Circles
Volume
Conics
100
The length of the common external tangent of two circles with radii 19 and 8 whose centers are 61 units apart.
60 units
100
Name all three ways of guaranteeing triangle similarity.
AA, SAS, SSS
100
If sintheta=-7/25 in Quadrant IV, what is the value of costheta ?
24/25
100
What is the length of an arc formed by a 30 degree central angle in a circle with radius 12?
2pi. u
100
What is the volume of a cone with a base radius of 7 and a height of 9? Express your answer in terms of pi.
147pi. u^3
100
What is the center and radius of the circle below?
(x-3)^2+(y+11)^2=2
Center: (3,-11)
Radius:
sqrt2
200
The distance between the centers of two circles whose radii are 27 and 18, that share a common external tangent with a length of 12.
15 units
200
The perimeter of triangle ABC is 36 units. If triangle DEF is a dilation of triangle ABC with a scale factor of 2, what is the perimeter of triangle DEF?
72 units
200
If a ramp has a slope of 2/15 , what is the angle of elevation of the ramp to the nearest tenth?
7.6 degrees
200
What is the area of the sector formed by a 45 degree angle in a circle with a diameter of 24 units?
18pi. u^2
200
What is the volume of a square pyramid with base edge 6 units and height 21 units?
252 u^3
200
Determine the center and radius of the circle below.
x^2+4y+y^2+8x=12
Center: (-4,-2)
Radius:
sqrt32or4sqrt2
300
Two concentric circles have radii 16 and 65. What is the length of the chord to the larger circle which is tangent to the smaller circle.
126 units
300
Determine the value of z.
4 units
300
Ben Roethlisberger is standing 362 feet away from the base of the Pittsburgh Steelers stadium. If the angle of elevation from Ben Roethlisberger to the top of the stadium is 70 degrees, how tall is the stadium to the nearest foot?
995 feet
300
What is the length of an arc formed by a 20 degree angle in a circle with radius 72 units?
8pi. u
300
What is the volume of a cylinder with diameter 22 units and height 2 units?
242pi. u^3
300
What is the equation of the directrix of the parabola?
y^2=8x
x=-2
400
A chord of a larger circle that is tangent to a smaller circle that shares the same center is 48 units long. What is the radius of the smaller circle if the radius of the larger circle is 25 units?
7 units
400
If DE is 12 units, what is the length of CB?
16 units
400
Two non-right angles A and B are in right triangle ABC. cosA=9/41 . What is the value of
sinB ?
9/41
400
What is the central angle that forms an
18pi square unit sector in a circle with radius 9?
80 degrees
400
What is the volume of a sphere with radius 2?
(32pi)/3 u^3
400
What is the focus of the parabola?
x^2=-32y
(0,-8)
500
The radius of a circle is 250 units. if a chord to that circle is 400 units, what is its distance from the center of the circle?
150 units.
500
A tree casts a 42 foot shadow at the same time a 4 foot tall woman casts a 6 foot shadow. How tall is the tree?
28 feet
500
What is the largest non-right angle in a 5-12-13 triangle to the nearest degree?
67 degrees.
500
What is the radius of a circle where a 72 degree arc measures
26pi units?
65 units
500
What is the volume of a cone with base diameter 10 and slant height 13?
100 pi cubic units
500
What is the equation of a circle that is tangent to the x-axis at 4 and tangent to the y-axis at -4?
(x-4)^2+(y+4)^2=16